Temperament orphanage: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~mbattaglia1~~|~~mbattaglia1~~]] and made on <tt>2011-05-20 11:37:40 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-20 12:03:52 UTC</tt>.<br>

: The original revision id was <tt>~~230356320~~</tt>.<br>

: The original revision id was <tt>230365926</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

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==Gravity - 5-limit - tempers 129140163/128000000==

5&67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a "Grave" fifth (or 27/20). It is part of the Mavila -> Dicot -> Porcupine -> Tetracot -> Amity continuum, whereby (81/80)^n = 25/24.

POTE generator: ~27/20 = 516.844 cents

Map: [<1 5 12|, <0 -6 -17|]

EDOs: 7, 58, 65, 137, 202, 267, 469

Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.

[[@http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&limit=5|http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&limit=5]]

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<h2 id="toc2"><a name="Welcome to the Temperament Orphanage-Gravity - 5-limit - tempers 129140163/128000000"></a>Gravity - 5-limit - tempers 129140163/128000000</h2>

5&amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a &quot;Grave&quot; fifth (or 27/20). It is part of the Mavila -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.<br />

<br />

POTE generator: ~27/20 = 516.844 cents<br />

<br />

Map: [&lt;1 5 12|, &lt;0 -6 -17|]<br />

EDOs: 7, 58, 65, 137, 202, 267, 469<br />

<br />

Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.<br />

<br />

<a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;limit=5</a><br />

<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-05-20 11:37:40 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-20 12:03:52 UTC</tt>.<br>
-: The original revision id was <tt>230356320</tt>.<br>
+: The original revision id was <tt>230365926</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 15: / Line 15: @@
 ==Gravity - 5-limit - tempers 129140163/128000000==
 &amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a "Grave" fifth (or 27/20). It is part of the Mavila -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.
+POTE generator: ~27/20 = 516.844 cents
+Map: [&lt;1 5 12|, &lt;0 -6 -17|]
+EDOs: 7, 58, 65, 137, 202, 267, 469
+Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.
 [[@http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;limit=5|http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;limit=5]]
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 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Welcome to the Temperament Orphanage-Gravity - 5-limit - tempers 129140163/128000000"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Gravity - 5-limit - tempers 129140163/128000000&lt;/h2&gt;
 &amp;amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a &amp;quot;Grave&amp;quot; fifth (or 27/20). It is part of the Mavila -&amp;gt; Dicot -&amp;gt; Porcupine -&amp;gt; Tetracot -&amp;gt; Amity continuum, whereby (81/80)^n = 25/24.&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~27/20 = 516.844 cents&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 5 12|, &amp;lt;0 -6 -17|]&lt;br /&gt;
+EDOs: 7, 58, 65, 137, 202, 267, 469&lt;br /&gt;
+&lt;br /&gt;
+Tempering out 65625/65536 does little damage to tuning accuracy but results in a very complex temperament.&lt;br /&gt;
+&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;amp;limit=5" rel="nofollow" target="_blank"&gt;http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;amp;limit=5&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;